DocumentCode
3641493
Title
On convergence of tracking differentiator and application to frequency estimation of sinusoidal signals
Author
Bao-Zhu Guo;Zhi-Liang Zhao
Author_Institution
Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100080, P.R. China School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050
fYear
2011
fDate
5/1/2011 12:00:00 AM
Firstpage
1470
Lastpage
1475
Abstract
The tracking differentiator was first proposed by Jingqing Han in 1989 and the proof of convergence was presented the first time in [J.Q. Han and W. Wang, Journal of Systems Science and Mathematical Science, 14(2)(1994), 177-183]. Unfortunately, the proof there is incorrect. This problem has been open for over two decades. In this paper, we give a rigorous proof under some additional conditions. An application to online estimate the unknown frequencies for the finite sum of the sinusoidal signals is presented. The numerical simulations illustrate the effectiveness of the estimation from both linear and nonlinear tracking differentiators.
Keywords
"Frequency estimation","Convergence","Lyapunov methods","Approximation methods","Differential equations","Estimation"
Publisher
ieee
Conference_Titel
Control Conference (ASCC), 2011 8th Asian
Print_ISBN
978-1-61284-487-9
Type
conf
Filename
5899290
Link To Document